Later Bernstein [1]}, [2]}
(see also [3]} and [4]})
extended the combination of relations
(REF ) and (REF ) to any continuous function \(f\)  of polynomial growth
in the following form:
\(\lim _{n\rightarrow {\infty }}\min _{P_n\in {\mathcal {P}}_{n}}\max _{\tau \in [-n/{\sigma },n/{\sigma }]}\left|f(\tau )-P_n(\tau )\right|=\inf _{g\in B_{\sigma }}\sup _{\tau \in (-{\infty },{\infty })}\left|f(\tau )-g(\tau )\right|.\) 
